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Finding the Fourth Proportional to 2,093.99, 2,888.67 and 1,209.26

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Solution

The fourth proportional to 2,093.99, 2,888.67 and 1,209.26 is: 1,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.99 : 2,888.67 = 1,209.26 : x
  2. Step 2: Convert to fraction form
    2,093.99/2,888.67 = 1,209.26/x
  3. Step 3: Cross multiply
    2,093.99x = 2,888.67 × 1,209.26
  4. Step 4: Simplify right side
    2,093.99x = 3,493,153.08
  5. Step 5: Solve for x
    x = 3,493,153.08/2,093.99
  6. Step 6: Final answer
    x = 1,668.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.